# Preference Modelling

• Marc Roubens
• Philippe Vincke
Book

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 250)

1. Front Matter
Pages N2-VIII
2. Marc Roubens, Philippe Vincke
Pages 1-5
3. Marc Roubens, Philippe Vincke
Pages 6-10
4. Marc Roubens, Philippe Vincke
Pages 11-53
5. Marc Roubens, Philippe Vincke
Pages 54-64
6. Marc Roubens, Philippe Vincke
Pages 65-86
7. Marc Roubens, Philippe Vincke
Pages 87-92
8. Back Matter
Pages 93-96

### Introduction

The following scheme summarizes the different families introduced in this chapter and the connections between them. Family of interval orders f Row-homogeneous Column-homogeneous Family of family of interval semi orders family of interval orders orders Homogeneous family of i nterva 1 orders Homogeneous family of semi orders Family of weak orders 85 5.13. EXAMPLES We let to the reader the verification of the following assertions. Example 1 is a family of interval orders which is neither row-homogeneous nor column-homogeneous. Example 2 is a column-homogeneous family of interval orders which is not row-homogeneous but where each interval order is a semiorder. Example 3 is an homogeneous family of interval orders which are not semiorders. Example 4 is an homogeneous family of semi orders . . 8 ~ __ --,b ~---i>---_ C a .2 d c Example Example 2 .8 .6 c .5 a 0 a d Example 3 Example 4 5.14. REFERENCES DOIGNON. J.-P •• Generalizations of interval orders. in E. Degreef and J. Van Buggenhaut (eds). T~ndS in MathematiaaZ PsyahoZogy. Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1984. FISHBURN. P.C., Intransitive indifference with unequal indifference intervals. J. Math. Psyaho.~ 7 (1970) 144-149. FISHBURN. P.C., Binary choice probabilities: on the varieties of stochastic transitivity. J. Math. Psyaho.~ 10 (1973) 327-352.

### Keywords

Modelling modeling value-at-risk

#### Authors and affiliations

• Marc Roubens
• 1
• Philippe Vincke
• 2
1. 1.State University of MonsMonsBelgium
2. 2.Free University of BrusselsBrusselsBelgium

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-642-46550-5
• Copyright Information Springer-Verlag Berlin Heidelberg 1985
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Print ISBN 978-3-540-15685-7
• Online ISBN 978-3-642-46550-5
• Series Print ISSN 0075-8442
• Buy this book on publisher's site
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